Finding the Third Proportional to 80,040 and 185,304

Step by Step Solution

1. Step 1: Write the proportion equation
   80,040 : 185,304 = 185,304 : x
2. Step 2: Convert to fraction form
   80,040/185,304 = 185,304/x
3. Step 3: Cross multiply
   80,040x = 185,304 × 185,304
4. Step 4: Simplify right side
   80,040x = 34,337,572,416
5. Step 5: Solve for x
   x = 34,337,572,416/80,040
6. Step 6: Final answer
   x = 429,005.15